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260675064 = 233313237193
BaseRepresentation
bin11111000100110…
…01010111111000
3200011111122222000
433202121113320
51013213100224
641511101000
76313462416
oct1742312770
9604448860
10260675064
11124165041
1273371760
134200c600
14268982b6
1517d420c9
hexf8995f8

260675064 has 192 divisors, whose sum is σ = 809445600. Its totient is φ = 77635584.

The previous prime is 260675057. The next prime is 260675069. The reversal of 260675064 is 460576062.

260675064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260675069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350552 + ... + 1350744.

Almost surely, 2260675064 is an apocalyptic number.

260675064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260675064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404722800).

260675064 is an abundant number, since it is smaller than the sum of its proper divisors (548770536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260675064 is a wasteful number, since it uses less digits than its factorization.

260675064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 260675064 is about 16145.4347727152. The cubic root of 260675064 is about 638.8023369761.

The spelling of 260675064 in words is "two hundred sixty million, six hundred seventy-five thousand, sixty-four".